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__________ is a vector quantity. (Electric field, Electric Field Intensity, Electric charge, Electric current)

Asked by Narendra Kumar Sharma 18/02/2015 Last Modified 18/02/2015

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Hi friends. I thought of sharing something wonderful i found on web so that it can help all of us & augment our understanding of the topic - 'Limit' . I have shared the complete pdf in my profile gallery or the original web link at the end of this post. An Intuitive Introduction To Limits Limits, the Foundations Of Calculus, seem so artificial and weasely: “Let x approach 0, but not get there, yet we’ll act like it’s there… ” Ugh. Here’s how I learned to enjoy them: What is a limit? Our best prediction of a point we didn’t observe. How do we make a prediction? Zoom into the neighboring points. If our prediction is always in between neighboring points, no matter how much we zoom, that’s our estimate. Why do we need limits? Math has “black hole” scenarios (dividing by zero, going to infinity), and limits give us a reasonable estimate. How do we know we’re right? We don’t. Our prediction, the limit, isn’t required to match reality. But for most natural phenomena, it sure seems to. Limits let us ask “What if?”. If we can directly observe a function at a value (like x=0, or x growing infinitely), we don’t need a prediction. The limit wonders, “If you can see everything except a single value, what do you think is there?”. When our prediction is consistent and improves the closer we look, we feel confident in it. And if the function behaves smoothly, like most real world functions do, the limit is where the missing point must be. Key Analogy: Predicting A Soccer Ball (associated pics in original post) Pretend you’re watching a soccer game. Unfortunately, the connection is choppy: So we missed what happened at 4:00. Even so, what’s your prediction for the ball’s position? Easy. Just grab the neighboring instants (3:59 and 4:01) and predict the ball to be somewhere in between. And… it works! Real world objects don’t teleport? they move through intermediate positions along their path from A to B. Our prediction is “At 4:00, the ball was between its position at 3:59 and 4:01?. Not bad. With a slow motion camera, we might even say “At 4:00, the ball was between its positions at 3:59.999 and 4:00.001?. Limits are a strategy for making confident predictions. Limits aren’t the only tool for checking the answers to impossible questions; infinitesimals work too. The key is understanding what we’re trying to predict, then learning the rules of making predictions. Happy math. (Original author - Mr. kalid ) Original post link: http://betterexplained.com/articles/an-intuitive-introduction-to-limits/ My profile link: https://www.urbanpro.com/delhi/pankaj-k/2531974 You may find more interesting stuff and information that can be of some help to you. I will be adding more pdfs in gallery soon . Sharing is caring.

If one wants the pdf in my galley on 'limits' can give a better understanding of the same material.

Pankaj Kumar

5 2

Define asymptote?

It is a line such that the distance between the curve and the line approaches zero as they tend to infinity.an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity.

Prakash

0 0

What is the equation of tangent hyperbola?

y= mx + sqrt(a*a*m*m - b*b)

Kartika

0 0

CBSE Class-12, Appearing candidates .... Hope all of you r giving final touch to ur revision... Now just revise ur short notes n formulae, if u have time den solve previous year papers .. Just 2-3 yrs only..... N try to find ur weak points and clear them on same day.... Most imp. Take proper diet and sleep per day 7-8 hrs.. Be cool don't b tensed ... You have sufficient gap for extra revision among each paper. ..... If anyone have any doubt regarding last time study and confusion abt Mathematics... You can message me.

Best of luck :)

Raj Thakur

5 0

Discuss the features of departmental store. How are they different from multiple shops or chain stores?

A departmental store is a large establishment offering a wide variety of products, classified into well-defined departments, aimed at satisfying practically every customer's need under one roof. It has...

Sahiba

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ADJUSTMENTS IN FINANCIAL STATEMENTS OR FINAL ACCOUNTS Information given outside the trial balance are known as adjustments. It means journal entry of this adjustment has not been passed yet . treatment...

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FAQ: Consolidated Financial Statement Of The Company

i. Who will prepare the Consociated Financial Statement? As stated in Section 129 It is duty of the Parent Company (Management) to prepare the consolidated financial statement of the company and laid...

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Drift Velocity Vs Thermal Velocity (Current Electricity)

Drift velocity: When a conductor is connected to a battery, free electrons move with a net speed which we call drift velocity. It is very small of order 10-4 ms-1 which is very small. So, we can conclude...

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Coulomb's Law

It states that when two stationary point charges are kept at certain distance then a force of attraction or repulsion acts between them which is directly propotional to product of their magnitude of the...

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Maths Classes Tuition Teacher BBA BCA IB ISC IGCSE Advance Mathematis

Math Tutoring Success Students spend 50% of their waking hours at school or doing homework, and something that occupies such a large amount of time inevitably plays a big role in their happiness. School...

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